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what is derivative of a formula. The derivative of x2 is 2x. That is the amount by which a function is changing at one given point.
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And therefore it is the slope of the function in the point x. The derivative of a function of a single variable at a chosen input value when it exists is the slope of the tangent line to the graph of the function at that point. Lim xa f x f a x a lim x a.
Derivative is the important tool in calculus to find an infinitesimal rate of change of a function with respect to its one of the independent variable.
From Wikipedia the free encyclopedia In the calculus of variations a field of mathematical analysis the functional derivative or variational derivative relates a change in a functional to a change in a function on which the functional depends. The process of calculating a derivative is called differentiation. X2 2x Dx Dx2 x2 Dx. The derivative of a moving object with respect to rime in the velocity of an object.
